Search a number
-
+
14729100 = 22352291693
BaseRepresentation
bin111000001011…
…111110001100
31000201022112020
4320023332030
512232312400
61243410140
7236123661
oct70137614
930638466
1014729100
118350211
124b23950
133089259
141d55a68
15145e2a0
hexe0bf8c

14729100 has 72 divisors (see below), whose sum is σ = 44111760. Its totient is φ = 3790080.

The previous prime is 14729093. The next prime is 14729119. The reversal of 14729100 is 192741.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7854 + ... + 9546.

Almost surely, 214729100 is an apocalyptic number.

14729100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14729100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22055880).

14729100 is an abundant number, since it is smaller than the sum of its proper divisors (29382660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14729100 is a wasteful number, since it uses less digits than its factorization.

14729100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 14729100 is about 3837.8509611500. The cubic root of 14729100 is about 245.1275193445.

The spelling of 14729100 in words is "fourteen million, seven hundred twenty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1693 1740 2175 2900 3386 4350 5079 6772 8465 8700 10158 16930 20316 25395 33860 42325 49097 50790 84650 98194 101580 126975 147291 169300 196388 245485 253950 294582 490970 507900 589164 736455 981940 1227425 1472910 2454850 2945820 3682275 4909700 7364550 14729100